A key step in transportation network design is to predict the collective behavior of selfish travelers in congested transportation networks [1]}. There are two different prediction model used in the literature: a nonlinear-convex-optimization-based model, known as the Beckmann model [2]}, and a linear-program-based model, known as the Nesterov & de Palma model [3]}, [4]}. Both models provide similar prediction for the user distribution, the price of anarchy, and the Braess paradox phenomenon [5]}.
